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Finding the Fourth Proportional to 5,782.82, 7,980.32 and 3,130.24

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Solution

The fourth proportional to 5,782.82, 7,980.32 and 3,130.24 is: 4,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.82 : 7,980.32 = 3,130.24 : x
  2. Step 2: Convert to fraction form
    5,782.82/7,980.32 = 3,130.24/x
  3. Step 3: Cross multiply
    5,782.82x = 7,980.32 × 3,130.24
  4. Step 4: Simplify right side
    5,782.82x = 24,980,316.88
  5. Step 5: Solve for x
    x = 24,980,316.88/5,782.82
  6. Step 6: Final answer
    x = 4,319.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.